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Finding the Third Proportional to 388,206 and 848,377

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Solution

The third proportional to 388,206 and 848,377 is: 1,854,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,206 : 848,377 = 848,377 : x
  2. Step 2: Convert to fraction form
    388,206/848,377 = 848,377/x
  3. Step 3: Cross multiply
    388,206x = 848,377 × 848,377
  4. Step 4: Simplify right side
    388,206x = 719,743,534,129
  5. Step 5: Solve for x
    x = 719,743,534,129/388,206
  6. Step 6: Final answer
    x = 1,854,024.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.